36765720180 has 216 divisors, whose sum is σ = 134536173408. Its totient is φ = 8403538752.

The previous prime is 36765720151. The next prime is 36765720193. The reversal of 36765720180 is 8102756763.

36765720180 is a `hidden beast` number, since 3 + 6 + 76 + 572 + 0 + 1 + 8 + 0 = 666.

36765720180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 160947 + ... + 315333.

Almost surely, 2^36765720180 is an apocalyptic number.

36765720180 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36765720180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67268086704).

36765720180 is an abundant number, since it is smaller than the sum of its proper divisors (97770453228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36765720180 is a wasteful number, since it uses less digits than its factorization.

36765720180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154425 (or 154404 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 36765720180 in words is "thirty-six billion, seven hundred sixty-five million, seven hundred twenty thousand, one hundred eighty".